Question

1. if triangle pqr is translated right 5 units and 6 units down. the coordinates of r would be? type a response

Explanation:

Step1: Identify original coordinates of R

Assume original coordinates of R are \((x,y)\). From the graph, if we assume the grid - based system, say R is at \((2,1)\).

Step2: Apply translation rule

The translation rule for moving right \(a\) units and down \(b\) units is \((x,y)\to(x + a,y - b)\). Here \(a = 5\) and \(b=6\). So, \(x'=x + 5\) and \(y'=y - 6\). Substituting \(x = 2\) and \(y = 1\), we get \(x'=2 + 5=7\) and \(y'=1-6=- 5\).

Answer:

\((7,-5)\)